51819264 has 324 divisors, whose sum is σ = 190840104. Its totient is φ = 13934592.

The previous prime is 51819241. The next prime is 51819283. The reversal of 51819264 is 46291815.

It is a tau number, because it is divible by the number of its divisors (324).

It is a super-2 number, since 2×51819264² = 5370472243003392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3048184 + ... + 3048200.

Almost surely, 2^51819264 is an apocalyptic number.

51819264 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51819264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95420052).

51819264 is an abundant number, since it is smaller than the sum of its proper divisors (139020840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51819264 is an equidigital number, since it uses as much as digits as its factorization.

51819264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 29 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 51819264 is about 7198.5598559712. The cubic root of 51819264 is about 372.8181783641.

The spelling of 51819264 in words is "fifty-one million, eight hundred nineteen thousand, two hundred sixty-four".